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arXiv · 1003.5079

Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays

Gautam C Sethia·Abhijit Sen·Fatihcan M. Atay
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Abstract

We study the existence and stability of synchronous solutions in a continuum field of non-locally coupled identical phase oscillators with distance-dependent propagation delays. We present a comprehensive stability diagram in the parameter space of the system. From the numerical results a heuristic synchronization condition is suggested, and an analytic relation for the marginal stability curve is obtained. We also provide an expression in the form of a scaling relation that closely follows the marginal stability curve over the complete range of the non-locality parameter.

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Gautam C Sethia, Abhijit Sen, Fatihcan M. Atay. 2010-03-26. Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays. https://doi.org/10.1103/physreve.81.056213

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